Attribute sampling is BEST suited to estimate:

Estimating the true monetary value of a population (e.g., account balances) typically involves variables sampling, which deals with continuous data rather than binary attributes.

Standard deviation from the mean is a statistical measure of data dispersion, usually calculated from variable data, not attributes.

Attribute sampling involves selecting a sample and examining it for the presence or absence of a specific characteristic or 'attribute' (e.g., whether a control was performed or not). This method is used to estimate the rate of occurrence of a certain condition within a population, which directly translates to assessing the degree of compliance with internal controls or approved procedures.

Estimating the total error *amount* in a population also falls under variables sampling, as it deals with monetary or quantitative errors, not the presence/absence of an attribute.